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We developed a new technique for measuring the thermodynamic entropy as afunction of the magnetic field angle. This technique enables high-resolutionangle-resolved measurements of the entropy in an unprecedentedly shortmeasuring time. When the magnetic field is rotated under adiabatic conditions,the sample temperature changes owing to the field-angle variation of itsentropy, which is referred to as the rotational magnetocaloric effect. Byinvestigating this effect along with the specific heat, the field-angledependence of the entropy can be determined. To demonstrate this technique, wechose the spin-ice compound Dy$_2$Ti$_2$O$_7$ as a benchmark and showed goodagreement between the measured and theoretical entropies as a function of thefield angle. This development provides a new approach to studyingcondensed-matter physics, in which multiple degrees of freedom play animportant role.

Field-rotational magnetocaloric effect: A new experimental technique for accurate measurement of the anisotropic magnetic entropy